Final answer:
The specific measure of each exterior angle of a regular polygon in the stained glass window cannot be determined without knowing the number of sides, but one can use the formula 360°/n to infer that the possible measures with whole number sides are 60°, 45°, and 40°.
Step-by-step explanation:
The measure of each exterior angle of a regular polygon can be found using the formula: 360°/n, where n is the number of sides of the polygon. Since the question did not specify the number of sides of the regular polygon in the stained glass window, we cannot provide an exact measure without additional information. However, we can conclude that for options provided, the regular polygon must have a number of sides such that when this value is plugged into the formula, it results in one of the angle measures given as choices (A) 25°, (B) 60°, (C) 45°, or (D) 40°. If we divide 360° by each of these angle measures, we find number of sides as: 360° / 25° = 14.4 (not a whole number), 360° / 60° = 6 (hexagon), 360° / 45° = 8 (octagon), and 360° / 40° = 9 (nonagon). Only the 60°, 45°, and 40° results correspond to regular polygons with a whole number of sides. Thus, if the stained glass window's center is a regular polygon, each exterior angle must be one of these three values.